cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A001386 Coordination sequence for 4-dimensional I-centered tetragonal orthogonal lattice.

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%I A001386 #22 Dec 10 2023 15:53:47
%S A001386 1,12,56,164,368,700,1192,1876,2784,3948,5400,7172,9296,11804,14728,
%T A001386 18100,21952,26316,31224,36708,42800,49532,56936,65044,73888,83500,
%U A001386 93912,105156,117264,130268,144200,159092,174976,191884,209848,228900,249072,270396,292904
%N A001386 Coordination sequence for 4-dimensional I-centered tetragonal orthogonal lattice.
%D A001386 M. O'Keeffe, Coordination sequences for lattices, Zeit. f. Krist., 210 (1995), 905-908.
%H A001386 Vincenzo Librandi, <a href="/A001386/b001386.txt">Table of n, a(n) for n = 0..1000</a>
%H A001386 Hamzeh Mujahed and Benedek Nagy, <a href="http://link.springer.com/chapter/10.1007/978-3-319-18720-4_50#page-1">Wiener Index on Lines of Unit Cells of the Body-Centered Cubic Grid</a>, Mathematical Morphology and Its Applications to Signal and Image Processing, 12th International Symposium, ISMM 2015.
%H A001386 M. O'Keeffe, <a href="http://dx.doi.org/10.1524/zkri.1995.210.12.905">Coordination sequences for lattices</a>, Zeit. f. Krist., 210 (1995), 905-908.
%H A001386 M. O'Keeffe, <a href="/A008527/a008527.pdf">Coordination sequences for lattices</a>, Zeit. f. Krist., 210 (1995), 905-908. [Annotated scanned copy]
%H A001386 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1).
%e A001386 G.f.: (1+x)^2*(1+6*x+x^2)/(1-x)^4. - _Colin Barker_, Apr 14 2012
%p A001386 [ seq( (16*k^3+20*k)/3, k=1..40) ];
%t A001386 CoefficientList[Series[(1+x)^2*(1+6*x+x^2)/(1-x)^4,{x,0,30}],x] (* _Vincenzo Librandi_, Apr 15 2012 *)
%Y A001386 Equals 4 * A004006(2n), n>0.
%K A001386 nonn,easy
%O A001386 0,2
%A A001386 _N. J. A. Sloane_